Special precision bolts are made by another machine. These are for jobs that require more exact measurements. The bolts must be
within 0.01 mm of 8 mm. This is represented by |x – 8| < 0.01.
Write this inequality as a compound inequality without absolute value bars.
Solve the inequality.
Graph the solutions on a number line.
What do the solutions of the inequality mean for the bolt?
Write this inequality as a compound inequality without absolute value bars.
Solve the inequality.
Graph the solutions on a number line.
What do the solutions of the inequality mean for the bolt?
1 answer:
Answer:
-.01 < x-8 < .01
7.99 < x< 8.01
see attached
The bolts must be greater than 7.99mm and less than 8.01 mm
Step-by-step explanation:
|x – 8| < 0.01
to remove the absolute value bars, we need the positive and negative solutions
x-8 < .01 and x-8 > -.01
-.01 < x-8 < .01
solve
add 8 to each side
-.01 < x-8 < .01
8 + -.01 < x-8+8 < .01 +8
7.99 < x< 8.01
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The probability of choosing two yellow marbles = 5/26
Step-by-step explanation:
Step 1 :
Given
Total number of marbles in the bag = 13 marbles
Number of yellow marbles = 6.
We choose 2 marbles from the bag without replacing and need to determine the probability that both are yellow.
Step 2 :
Probability of finding yellow marble in the first try = Number of yellow marbles / Total number of marbles =
Once the yellow marble is selected we have 5 yellow marbles among 12 remaining marbles in the bag.
Probability of finding yellow marble in the second try = Number of yellow marbles / Total number of marbles =
Step 3:
P(yellow in first 2 tries) = P(yellow in first try) * P(yellow in second try)
P(yellow in first 2 tries) = =
Step 4:
Answer:
The probability of choosing two yellow marbles = 5/26